Question

You wish to estimate, with 95% confidence, the population proportion of tablet owners who use their tablets daily. Your estimate must be accurate within 2% of the population proportion. No preliminary estimate is available. Find the minimum sample size needed.

Answer #1

Given in the question

Confidence level = 0.95

alpha()
or level of significance = 1 - confidence level = 1 - 0.95 =
0.05

/2 = 0.05/2 = 0.025

Margin of error (E) = 0.02

No preliminary estimate is available for population proportion so
p= 0.5

Minimum sample size needed can be calculated as

Minimum sample size n = (Z/2
/E)^2 * (p*(1-p)

At
/2 = 0.025 from Z table we found Z/2
= 1.96

So Minimum sample size n = (1.96/0.02)^2 * (0.5*(1-0.5)) = (98)^2 *
0.25 = 2401

So minimum sample size needed = 2401

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